A bucket full of water weighs 5 kg , it is pulled with constant speed from a well 20 m deep. There is a small hole in the bucket through which water leaks at a constant rate of 0 .2 kg m - 1 . Ignore the force due to leakage. The total work done in pulling the bucket up from the well is g = 10 m s - 2

Question

A bucket full of water weighs 5 kg , it is pulled with constant speed from a well 20 m deep. There is a small hole in the bucket through which water leaks at a constant rate of 0 .2 kg m - 1 . Ignore the force due to leakage. The total work done in pulling the bucket up from the well is g = 10 m s - 2, 600 J, 400 J, 100 J, 500 J

MARKS App · Accepted Answer

The weight of bucket when it has been pulled up a distance x i s (5-0.2 x ) . Hence, the required work is W = ∫ x = 2 0 x = 0 5 - 0 . 2 x × 1 0 × dx = 5 0 x x = 0 x = 2 0 - 2 x 2 2 x = 0 x = 2 0 W = 5 0 × 2 0 - 2 0 2 = 6 0 0 J

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